Information on Result #687649
Linear OA(831, 513, F8, 11) (dual of [513, 482, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 513 | 86−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound)
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(838, 520, F8, 13) (dual of [520, 482, 14]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(832, 520, F8, 11) (dual of [520, 488, 12]-code) | [i] | ✔ | |
| 3 | Linear OA(849, 527, F8, 17) (dual of [527, 478, 18]-code) | [i] | ✔ | |
| 4 | Linear OA(850, 532, F8, 17) (dual of [532, 482, 18]-code) | [i] | ✔ | |
| 5 | Linear OA(848, 527, F8, 16) (dual of [527, 479, 17]-code) | [i] | ✔ | |
| 6 | Linear OA(846, 523, F8, 15) (dual of [523, 477, 16]-code) | [i] | ✔ | |
| 7 | Linear OA(847, 529, F8, 15) (dual of [529, 482, 16]-code) | [i] | ✔ | |
| 8 | Linear OA(859, 537, F8, 19) (dual of [537, 478, 20]-code) | [i] | ✔ | |
| 9 | Linear OA(860, 540, F8, 19) (dual of [540, 480, 20]-code) | [i] | ✔ | |
| 10 | Linear OA(858, 535, F8, 19) (dual of [535, 477, 20]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 11 | Linear OA(848, 525, F8, 17) (dual of [525, 477, 18]-code) | [i] | ✔ | |
| 12 | Linear OA(852, 535, F8, 17) (dual of [535, 483, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(849, 532, F8, 15) (dual of [532, 483, 16]-code) | [i] | ✔ | |